Greatest Common Factor of 987/892, 3241/9157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 987/892, 3241/9157

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 987/892,3241/9157

Given fractions are 987/892,3241/9157

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 987,3241

Greatest Common Factor of Numerators i.e. GCF of 987,3241 is 7 .

LCM of Denominators means LCM of 892,9157 as per the given fractions.

LCM of 892,9157 is 8168044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 987,3241

GCF of Fractions 987/892,3241/9157 is 7/8168044

7 987, 3241
141, 463

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 987,3241 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,3241 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 3241

List of positive integer factors of 3241 that divides 3241 without a remainder.

1,7,463,3241

Greatest Common Factor

We found the factors 987,3241 . The biggest common factor number is the GCF number.
So the greatest common factor 987,3241 is 7.

Lets's calculate LCM of 892,9157

Given numbers has no common factors except 1. So, there LCM is their product i.e 8168044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/8168044

Therefore, the GCF of Fractions 987/892,3241/9157 is 7/8168044

Least Common Multiple of 892,9157 with GCF Formula

Least Common Multiple of 892,9157 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 892,9157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,9157) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(892,9157) x common factors =1 x 1 = 1

LCM(892,9157) = ( 892 × 9157 ) / 1

LCM(892,9157) = 8168044 / 1

LCM(892,9157) = 8168044


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 987/892, 3241/9157

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 987/892, 3241/9157?

Answer: GCF of Numerators as per given numbers 987/892, 3241/9157 is

GCF of Numerators i.e. for 987,3241 is 7

LCM of denominators i.e. for 892,9157 is 8168044.

Thus, GCF of Fractions is 7/8168044.Finally, GCF of Fractions for 987/892, 3241/9157 is 7/8168044.